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Finding the Third Proportional to 34,544,999,980 and 53,074,574,489

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Solution

The third proportional to 34,544,999,980 and 53,074,574,489 is: 81,543,217,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,544,999,980 : 53,074,574,489 = 53,074,574,489 : x
  2. Step 2: Convert to fraction form
    34,544,999,980/53,074,574,489 = 53,074,574,489/x
  3. Step 3: Cross multiply
    34,544,999,980x = 53,074,574,489 × 53,074,574,489
  4. Step 4: Simplify right side
    34,544,999,980x = 2,816,910,457,188,409,409,536
  5. Step 5: Solve for x
    x = 2,816,910,457,188,409,409,536/34,544,999,980
  6. Step 6: Final answer
    x = 81,543,217,797.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.